121307200 has 84 divisors (see below), whose sum is σ = 341164672. Its totient is φ = 41587200.

The previous prime is 121307167. The next prime is 121307227. The reversal of 121307200 is 2703121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5785 + ... + 16615.

Almost surely, 2^121307200 is an apocalyptic number.

121307200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170582336).

121307200 is an abundant number, since it is smaller than the sum of its proper divisors (219857472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121307200 is a wasteful number, since it uses less digits than its factorization.

121307200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10860 (or 10845 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 121307200 is about 11013.9547847265. The cubic root of 121307200 is about 495.0269685677.

The spelling of 121307200 in words is "one hundred twenty-one million, three hundred seven thousand, two hundred".